Find the minimum value of $y={{x}^{2}}-2x-3$

If $y=\cos 3x$ , find $\tfrac{dy}{dx}$

If $y=4{{x}^{3}}-2{{x}^{2}}+x$, find $\tfrac{dy}{dx}$

If $\sin \theta =\tfrac{12}{13}$ find the value of $1+\cos \theta $

Find the equation of the straight line through (–2, 3) and perpendicular to 4x +3y – 5 = 0 

Calculate the midpoint of the line segment $y-4x+3=0$ which lies between the x –axis and y–axis

In the figure above, what is the equation of the line that passes the y – axis at (0, 5) and passes the x – axis at (5,0)

The gradient of the line joining (x, 4) and (1, 2) is ½ . Find the value of x

Find the mid point of S(–5, 4) and T(–3, –2)

The locus of a dog tethered to a pole with a rope of 4m is a